Question

the difference of an integer and it's reciprocal is 143\12find the integer

Answer 1

Hi,
Here is your solution:

Let the integer be k.
Given that k-$\frac{1}{k}$=143/12
Taking LCM and cross multiplying, we get
12$k^{2}$-12=143k
12$k^{2}$-143k-12=0
This is a quadratic equation.
12$k^{2}$-144k+k-12=0
12k(k-12)+(k-12)=0
(k-12)(12k+1)=0
k=12,$\frac{-1}{12}$
Since k is an integer, therefore k=12
Hope the solution is clear to you.
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Answer 2

Step-by-step explanation:

I hope it will help u

plz mark as brainlist